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The behavior of short-wave-length acoustic phonons in the vicinity of a quantum well ina GaAs/AlGaAs heterostructure has been investigated. Hot two-dimensional electronsin the well produce longitudinal optical phonons, which decay into almost monoenergeticshort-wave-length longitudinal acoustic (LA) phonons. The latter undergoelastic scattering and down-conversion into transverse acoustic (TA) phonons. The distributionof the LA and TA phonons over frequency and distance to the well havebeen found by solving semi-analytically a system of two kinetic equations with nontrivialboundary conditions and nonlinear dispersion. The distribution functions haveessentially non-temperature form even at substantial distance from the well

Dynamics of Non-equilibrium Short-wave-length Phonons in Semiconductor Heterostructures